{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Aperiodic monotile"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import lostinmsh as lsm\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "%matplotlib inline\n",
    "plt.rcParams.update({\"font.size\": 15})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define the polygon"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "vertices = [\n",
    "    [0, 0],\n",
    "    [0, np.sqrt(3)],\n",
    "    [1, np.sqrt(3)],\n",
    "    [3 / 2, 3 * np.sqrt(3) / 2],\n",
    "    [3, np.sqrt(3)],\n",
    "    [3, 0],\n",
    "    [4, 0],\n",
    "    [9 / 2, -np.sqrt(3) / 2],\n",
    "    [3, -np.sqrt(3)],\n",
    "    [3 / 2, -np.sqrt(3) / 2],\n",
    "    [1, -np.sqrt(3)],\n",
    "    [-1, -np.sqrt(3)],\n",
    "    [-3 / 2, -np.sqrt(3) / 2],\n",
    "]\n",
    "polygon = lsm.Polygon.from_vertices(vertices, \"Cavity\")\n",
    "\n",
    "fig, ax = plt.subplots(figsize=[5, 5], layout=\"constrained\")\n",
    "lsm.plot_polygon(polygon, ax=ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Define the geometry"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "geometry = lsm.Geometry.from_polygon(polygon, lsm.AutoCircular(border_factor=0.25))\n",
    "\n",
    "fig, ax = plt.subplots(figsize=[5, 5], layout=\"constrained\")\n",
    "lsm.plot_geometry(geometry, ax=ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Mesh the geometry"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Info    : Increasing process stack size (8192 kB < 16 MB)\n"
     ]
    }
   ],
   "source": [
    "lsm.mesh_unstructured(geometry, 0.2, lsm.GmshOptions(gui=True))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Locally structured mesh the geometry"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "lsm.mesh_loc_struct(geometry, 0.2, lsm.GmshOptions(gui=True))"
   ]
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
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   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.0rc1"
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  "vscode": {
   "interpreter": {
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